Henry Rouanet

Stochastic models for the response continuum in a determinate situation: Comparisons and extensions

Abstract Several stochastic models for the response continuum with determinate reinforcement have recently appeared in the literature. A number of these models have developed more or less independently of each other so that underlying psychological concepts, experimental tasks, and mathematical style all differ to some extent. The present paper examines and compares the mathematical properties of a number of these models. It is shown that several models are all variants of a simple and general stochastic process. Considerations in the experimental testing of these models are discussed.

Nonprobabilistic Statistical Inference: A Set-Theoretic Approach

Abstract The familiar sampling procedures of statistical inference can be recast within a purely set-theoretic (ST) framework, without resorting to probabilistic prerequisites. This article is an introduction to the ST approach of statistical inference, with emphasis on its attractiveness for teaching. The main points treated are unsophisticated ST significance testing and ST inference for a relative frequency (proportion).